Source / pinned edition
Perelman's finite extinction time for certain three-manifolds (2003), as reported in the Clay Mathematics Institute press release of March 18, 2010
Source of package perelman.finite_extinction_2003 · https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf#perelman-finite-extinction
- work
- urn:doctrine:math:perelman-finite-extinction-2003#FINITE_EXTINCTION_EXPOSITION
- number
- https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf#perelman-finite-extinction
- kind
- urn:doctrine:math:perelman-finite-extinction-2003#treatise
FINITE_EXTINCTION_EXPOSITION_EDITION
- edition
- urn:doctrine:math:perelman-finite-extinction-2003#FINITE_EXTINCTION_EXPOSITION_EDITION
- language
- en
- officiality
- unofficial
- materialisation
- PINNED_UNOFFICIAL_COPY
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Publications
| URI | Type | documentHash | Retrieved |
|---|---|---|---|
| https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf | text/plain; charset=utf-8 | sha256:9edf75c432d7591269459d6cb7a873a50eff883b84acffaf625d2efa8f36c1a1 | 2026-09-17T00:00:00Z |
Fragments — 2
ref-p3 · defn
en · official · sha256:9a69c3c5e1ecec939629c2119b265d61c18fc4b2e064ba4ae67f189fbda34ce7
[P3] G. Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds, arXiv.org, July 17, 2003zeno-wall · lemma · referenced by: 6
en · official · sha256:e02c8ffeb24dfd5a439be7e3d1bbef4f52de2529839ba8a02f19fa94e5fbea33
With these results in hand, Perelman showed that the formation times of the singularities could not run into Zeno's wall: imagine a singularity that occurs after one second, then after half a second more, then after a quarter of a second more, and so on. If this were to occur, the "wall," which one would reach two seconds after departure, would correspond to a time at which the mathematics of Ricci flow would cease to hold. The proof would be unattainable. But with this new mathematics in hand, attainable it was.Referencing norms: FiniteExtinctionAppliesDirect, PerelmanFiniteExtinctionClaim, PerelmanFiniteExtinctionProof, PerelmanFiniteExtinctionSource, finite-extinction-proves-claim, finite_extinction_established_for
The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.